@Pico de Goroh, no, this option was removed.
But you know, the music flow feels a little bit different here, it's hard to explain, it's like it never stops (there is a crossfade between the tracks), even during loading screen, so you don't think about resuming anything (although I used this option on PS3 cause races felt fast and short and tracks were too long to enjoy them in their entirety). Maybe because the music tracks are shorter this time, IDK.